Question

Which function would vertically compress the function k(x)=√2x-1+3
by a factor of 1/2
?(1 point)
Responses

m(x)=0.5√2x-1+3
m left parenthesis x right parenthesis equals 0.5 Start Root 2 x minus 1 End Root plus 3

b(x)=1.5√2x-1+3
b left parenthesis x right parenthesis equals 1.5 Start Root 2 x minus 1 End Root plus 3

j(x)=2√2x-1+3
j left parenthesis x right parenthesis is equal to 2 square root of 2 x minus 1 end root plus 3

c(x)=√x-1+3

Answer 1

To vertically compress the function \( k(x) = \sqrt{2x - 1} + 3 \) by a factor of \( \frac{1}{2} \), you need to multiply the entire function by \( \frac{1}{2} \).

So, the vertically compressed function would be:

\[
m(x) = \frac{1}{2} \sqrt{2x - 1} + 3
\]

Looking at the options provided:

- \( m(x) = 0.5\sqrt{2x - 1} + 3 \)

This matches the correct answer for a vertical compression by a factor of \( \frac{1}{2} \).

Therefore, the correct response is:

**m(x) = 0.5√(2x - 1) + 3**